What is the Greatest Common Factor of 89975 and 89980?

Greatest common factor (GCF) of 89975 and 89980 is 5.

GCF(89975,89980) = 5

We will now calculate the prime factors of 89975 and 89980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89975 and 89980.

How to find the GCF of 89975 and 89980?

We will first find the prime factorization of 89975 and 89980. After we will calculate the factors of 89975 and 89980 and find the biggest common factor number .

Step-1: Prime Factorization of 89975

Prime factors of 89975 are 5, 59, 61. Prime factorization of 89975 in exponential form is:

89975 = 5² × 59¹ × 61¹

Step-2: Prime Factorization of 89980

Prime factors of 89980 are 2, 5, 11, 409. Prime factorization of 89980 in exponential form is:

89980 = 2² × 5¹ × 11¹ × 409¹

Step-3: Factors of 89975

List of positive integer factors of 89975 that divides 89975 without a remainder.

1, 5, 25, 59, 61, 295, 305, 1475, 1525, 3599, 17995

Step-4: Factors of 89980

List of positive integer factors of 89980 that divides 89975 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 409, 818, 1636, 2045, 4090, 4499, 8180, 8998, 17996, 22495, 44990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89975 and 89980. The biggest common factor number is the GCF number.
So the greatest common factor 89975 and 89980 is 5.

Also check out the Least Common Multiple of 89975 and 89980